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Finding the Fourth Proportional to 22,893.68, 31,593.98 and 12,822.10

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Solution

The fourth proportional to 22,893.68, 31,593.98 and 12,822.10 is: 17,694.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,893.68 : 31,593.98 = 12,822.10 : x
  2. Step 2: Convert to fraction form
    22,893.68/31,593.98 = 12,822.10/x
  3. Step 3: Cross multiply
    22,893.68x = 31,593.98 × 12,822.10
  4. Step 4: Simplify right side
    22,893.68x = 405,101,170.96
  5. Step 5: Solve for x
    x = 405,101,170.96/22,893.68
  6. Step 6: Final answer
    x = 17,694.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.